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Approximation Theory and Its Applications
Article . 1995 . Peer-reviewed
License: Springer Nature TDM
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Archivio della ricerca- Università di Roma La Sapienza
Article . 1995
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https://dx.doi.org/10.1007/bf0...
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Bernstein-type operators, convexity and Lipschitz classes

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1995 Italy English Publisher:Springer Science and Business Media LLCJournal:Approximation Theory and its Applications, volume 11, pages 16-23 (issn: 1000-9221, Copyright policy )
Authors: DELLA VECCHIA, Biancamaria; I. Rasa;

doi: 10.1007/bf02836442

handle: 11573/465256

Bernstein-type operators, convexity and Lipschitz classes

Abstract

The authors study the monotonicity properties of the sequences of some Bernstein-type operators, relative to convex functions, as well as the preservation properties of Lipschitz classes for these operators. They start from a class of Bernstein-Schnabl type operators and give several illustrations for the operators of Bernstein, Stancu and Cheney-Sharma.

Country
Italy
Related Organizations
Keywords

convexity, Approximation by positive operators, Multidimensional problems, Numerical smoothing, curve fitting, Lipschitz classes, Bernstein operators, monotonicity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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